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Finding the Fourth Proportional to 6,266.94, 9,402.50 and 2,107.36

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Solution

The fourth proportional to 6,266.94, 9,402.50 and 2,107.36 is: 3,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.94 : 9,402.50 = 2,107.36 : x
  2. Step 2: Convert to fraction form
    6,266.94/9,402.50 = 2,107.36/x
  3. Step 3: Cross multiply
    6,266.94x = 9,402.50 × 2,107.36
  4. Step 4: Simplify right side
    6,266.94x = 19,814,452.40
  5. Step 5: Solve for x
    x = 19,814,452.40/6,266.94
  6. Step 6: Final answer
    x = 3,161.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.